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Finding the Third Proportional to 4,569.75 and 9,868.50

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Solution

The third proportional to 4,569.75 and 9,868.50 is: 21,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.75 : 9,868.50 = 9,868.50 : x
  2. Step 2: Convert to fraction form
    4,569.75/9,868.50 = 9,868.50/x
  3. Step 3: Cross multiply
    4,569.75x = 9,868.50 × 9,868.50
  4. Step 4: Simplify right side
    4,569.75x = 97,387,292.25
  5. Step 5: Solve for x
    x = 97,387,292.25/4,569.75
  6. Step 6: Final answer
    x = 21,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.